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Abstract <p>An analysis of the molecular dynamics method for node placement in the construction of unstructured meshes is presented. A method for its improvement is considered. An energy-based approach to the problem of triangular mesh node placement on a surface is proposed, which is based on the idea of finding the minimum potential energy of a system of charges using the gradient descent method.</p>

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Generation of Triangular Meshes Using Potential Energy Minimization Method

  • 期刊论文

  • 发表日期：

    2025年4月1日

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  • K. A. Novikov,
  • D. A. Konyaev,
  • T. A. Novikova

摘要

Abstract

An analysis of the molecular dynamics method for node placement in the construction of unstructured meshes is presented. A method for its improvement is considered. An energy-based approach to the problem of triangular mesh node placement on a surface is proposed, which is based on the idea of finding the minimum potential energy of a system of charges using the gradient descent method.